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422682000 = 24353135419
BaseRepresentation
bin11001001100011…
…001110110010000
31002110100110200220
4121030121312100
51331201311000
6105535313040
713321511016
oct3114316620
91073313626
10422682000
111a7658274
12b967b780
13697536c0
14401ca8b6
15271941a0
hex19319d90

422682000 has 160 divisors (see below), whose sum is σ = 1467822720. Its totient is φ = 104025600.

The previous prime is 422681981. The next prime is 422682019. The reversal of 422682000 is 286224.

It is an interprime number because it is at equal distance from previous prime (422681981) and next prime (422682019).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75291 + ... + 80709.

It is an arithmetic number, because the mean of its divisors is an integer number (9173892).

Almost surely, 2422682000 is an apocalyptic number.

422682000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733911360).

422682000 is an abundant number, since it is smaller than the sum of its proper divisors (1045140720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

422682000 is a wasteful number, since it uses less digits than its factorization.

422682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 422682000 is about 20559.2315031472. The cubic root of 422682000 is about 750.4779176172.

The spelling of 422682000 in words is "four hundred twenty-two million, six hundred eighty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 975 1000 1040 1200 1300 1500 1560 1625 1950 2000 2600 3000 3120 3250 3900 4875 5200 5419 6000 6500 7800 9750 10838 13000 15600 16257 19500 21676 26000 27095 32514 39000 43352 54190 65028 70447 78000 81285 86704 108380 130056 135475 140894 162570 211341 216760 260112 270950 281788 325140 352235 406425 422682 433520 541900 563576 650280 677375 704470 812850 845364 1056705 1083800 1127152 1300560 1354750 1408940 1625700 1690728 1761175 2032125 2113410 2167600 2709500 2817880 3251400 3381456 3522350 4064250 4226820 5283525 5419000 5635760 6502800 7044700 8128500 8453640 8805875 10567050 10838000 14089400 16257000 16907280 17611750 21134100 26417625 28178800 32514000 35223500 42268200 52835250 70447000 84536400 105670500 140894000 211341000 422682000